Abelianized obstruction for fixed points of fiber-preserving maps of surface bundles
| dc.contributor.author | Gonçalves, Daciberg Lima | |
| dc.contributor.author | Penteado, Dirceu | |
| dc.contributor.author | Vieira, João Peres [UNESP] | |
| dc.contributor.institution | Universidade de São Paulo (USP) | |
| dc.contributor.institution | Universidade Federal de São Carlos (UFSCar) | |
| dc.contributor.institution | Universidade Estadual Paulista (UNESP) | |
| dc.date.accessioned | 2022-04-28T21:01:18Z | |
| dc.date.available | 2022-04-28T21:01:18Z | |
| dc.date.issued | 2009-01-01 | |
| dc.description.abstract | Let f:M → M be a fiber-preserving map where S → M → B is a bundle and S is a closed surface. We study the abelianized obstruction, which is a cohomology class in dimension 2, to deform f to a fixed point free map by a fiber-preserving homotopy. The vanishing of this obstruction is only a necessary condition in order to have such deformation, but in some cases it is sufficient. We describe this obstruction and we prove that the vanishing of this class is equivalent to the existence of solution of a system of equations over a certain group ring with coefficients given by Fox derivatives. © 2009 Juliusz Schauder Center for Nonlinear Studies. | en |
| dc.description.affiliation | Dept. de Matemática IME USP, Caixa Postal 66.281,CEP 05311-970, São Paulo - SP | |
| dc.description.affiliation | Departamento de Matemática Universidade Federal de São Carlos Rodovia Washington Luiz, São Carlos 13565-905 | |
| dc.description.affiliation | Departamento de Matemática I.G.C.E UNESP, Caixa Postal 178, Rio Claro 13500-230 | |
| dc.description.affiliationUnesp | Departamento de Matemática I.G.C.E UNESP, Caixa Postal 178, Rio Claro 13500-230 | |
| dc.format.extent | 293-305 | |
| dc.identifier | http://dx.doi.org/10.12775/TMNA.2009.019 | |
| dc.identifier.citation | Topological Methods in Nonlinear Analysis, v. 33, n. 2, p. 293-305, 2009. | |
| dc.identifier.doi | 10.12775/TMNA.2009.019 | |
| dc.identifier.issn | 1230-3429 | |
| dc.identifier.scopus | 2-s2.0-77952582253 | |
| dc.identifier.uri | http://hdl.handle.net/11449/225845 | |
| dc.language.iso | eng | |
| dc.relation.ispartof | Topological Methods in Nonlinear Analysis | |
| dc.source | Scopus | |
| dc.subject | Abelianized obstruction | |
| dc.subject | Fiber bundle | |
| dc.subject | Fiberwise homotopy | |
| dc.subject | Fixed point | |
| dc.title | Abelianized obstruction for fixed points of fiber-preserving maps of surface bundles | en |
| dc.type | Artigo |